Chapter 11.1, Problem 59SR

To determine

To find: The quadratic equation from the given roots.

Answer to Problem 59SR

The quadratic equation from the given roots is $x^2+x-20=0$ .

Explanation of Solution

Given Information:

The given roots are $4,-5$

The quadratic equation from the given roots is calculated as,

  $\begin{array}{l}\left(x-4\right)\left(x+5\right)=0\\ x\left(x+5\right)-4\left(x+5\right)=0\\ x^2+5x-4x-20=0\\ x^2+x-20=0\end{array}$

Thus, the quadratic equation from the given roots is $x^2+x-20=0$ .